Question

How do you write the expression for “The product of $3$ and a number Y is no more than $21$”?

Answer 1

Hint: We will start off by explaining the term product of a number. Then we will be mentioning the steps to solve such types of questions. We have considered an unknown variable as $x$ to further simplify and evaluate the terms. Also, we will mention some other rules as well.

Complete step by step solution:
Expression is a mathematical sentence which has numbers, variables, and operations and there is no equal sign. Simplify means to break down an expression to its simplest forms. Variable is a number that we don’t know, or which can change. Algebraic expressions are useful because they represent the value of an expression for all of the values a variable can take on. Sometimes in math, we describe an expression with a phrase. When we describe an expression in words that includes a variable, we are describing an algebraic expression, an expression with a variable.
We will start off by mentioning the term product. So, product refers to a result of multiplication, and here the square of $x$ means $x$ squared. Now here we have already considered an unknown variable $x$ as the ‘number’. The phrase “is no more” deserves some careful attention here. Now if it was “is no larger than” then you would be looking for an expression like
$ = |3Y|\, \leqslant 21$
So, the correct answer is “$ = |3Y|\, \leqslant 21$”.

Note: While converting orders do not matter for addition and multiplication. But order is important for subtraction and division. Make sure that you read the statement twice before translating it to an expression. Pay extra attention to the statements where multiplication and division is involved.